Grade 11Analytical Geometry
what are the coordinates of orthocenter?
what are the coordinates of orthocenter?
1 Answer
Hello student,
Let ABC be the given triangle and AD, BE and CF be the three altitudes.
Now, to calculate the orthocentre,
Step 1: Firstly, find the slopes of sides AB, BC and CA using the formula
Step 2: Calculate the slopes of altitudes AD, BE and CF which are perpendicular to BC, CA and AB respectively.
Slope of altitude = -1/ slope of opposite side
Step 3: By suing the point slope form, calculate the equation for the altitudes with their respective coordinates. The point slope formula is given as y – y1 = m (x – x1)
Step 4: Finally, by solving the equations of any two altitudes, we can get the orthocentre of the triangle.
Let ABC be the given triangle and AD, BE and CF be the three altitudes.
Now, to calculate the orthocentre,
Step 1: Firstly, find the slopes of sides AB, BC and CA using the formula
Step 2: Calculate the slopes of altitudes AD, BE and CF which are perpendicular to BC, CA and AB respectively.
Slope of altitude = -1/ slope of opposite side
Step 3: By suing the point slope form, calculate the equation for the altitudes with their respective coordinates. The point slope formula is given as y – y1 = m (x – x1)
Step 4: Finally, by solving the equations of any two altitudes, we can get the orthocentre of the triangle.
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